47787170785536 has 2304 divisors, whose sum is σ = 179906903801856. Its totient is φ = 10898857525248.

The previous prime is 47787170785483. The next prime is 47787170785537. The reversal of 47787170785536 is 63558707178774.

It is a super-2 number, since 2×47787170785536² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47787170785537) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 78726804945 + ... + 78726805551.

It is an arithmetic number, because the mean of its divisors is an integer number (78084593664).

Almost surely, 2^{47787170785536} is an apocalyptic number.

47787170785536 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47787170785536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89953451900928).

47787170785536 is an abundant number, since it is smaller than the sum of its proper divisors (132119733016320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47787170785536 is a wasteful number, since it uses less digits than its factorization.

47787170785536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 1936166400, while the sum is 75.

The spelling of 47787170785536 in words is "forty-seven trillion, seven hundred eighty-seven billion, one hundred seventy million, seven hundred eighty-five thousand, five hundred thirty-six".